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Using self- and observer reports on the Personality Inventory for DSM–5 (PID–5) and the HEXACO Personality Inventory–Revised (HEXACO–PI–R), we identified for each inventory several trait dimensions (each defined by both self- and observer reports on the facet-level scales belonging to the same domain) and 2 source dimensions (each defined by self-reports or by observer reports, respectively, on all facet-level scales). Results (N = 217) showed that the source dimensions of the PID–5 were very large (much larger than those of the HEXACO–PI–R), and suggest that self-report (or observer report) response styles substantially inflate the intercorrelations and the alpha reliabilities of the PID–5 scales. We discuss the meaning and the implications of the large PID–5 source components, and we suggest some methods of controlling their influence.